voltage of capacitor

1. The problem statement, all variables and given/known data


2. Relevant equations

v(t)=v(infinity)+ [v(0) – v(infinity)]^e(-t/RC)

3. The attempt at a solution

I found Vo(0) to be 8V, but I’m not sure about about v(infinity) and R

If the switch is at B and the capacitor is an open circuit at steady state, then shouldn’t the resistance be the addition of the parallel combination of 40k and 30k and the 20k
however, the solution for R is given as 12

and for v(infinity), I don’t know know what to do


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